Prolongations and Computational Algebra
Canadian journal of mathematics, Tome 61 (2009) no. 4, pp. 930-949

Voir la notice de l'article provenant de la source Cambridge University Press

We explore the geometric notion of prolongations in the setting of computational algebra, extending results of Landsberg and Manivel which relate prolongations to equations for secant varieties. We also develop methods for computing prolongations that are combinatorial in nature. As an application, we use prolongations to derive a new family of secant equations for the binary symmetric model in phylogenetics.
DOI : 10.4153/CJM-2009-047-5
Mots-clés : 13P10, 14M99
Sidman, Jessica; Sullivant, Seth. Prolongations and Computational Algebra. Canadian journal of mathematics, Tome 61 (2009) no. 4, pp. 930-949. doi: 10.4153/CJM-2009-047-5
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